6(k-7)-(8+9k)=-4k

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Solution for 6(k-7)-(8+9k)=-4k equation: 


Simplifying
6(k + -7) + -1(8 + 9k) = -4k

Reorder the terms:
6(-7 + k) + -1(8 + 9k) = -4k
(-7 * 6 + k * 6) + -1(8 + 9k) = -4k
(-42 + 6k) + -1(8 + 9k) = -4k
-42 + 6k + (8 * -1 + 9k * -1) = -4k
-42 + 6k + (-8 + -9k) = -4k

Reorder the terms:
-42 + -8 + 6k + -9k = -4k

Combine like terms: -42 + -8 = -50
-50 + 6k + -9k = -4k

Combine like terms: 6k + -9k = -3k
-50 + -3k = -4k

Solving
-50 + -3k = -4k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '4k' to each side of the equation.
-50 + -3k + 4k = -4k + 4k

Combine like terms: -3k + 4k = 1k
-50 + 1k = -4k + 4k

Combine like terms: -4k + 4k = 0
-50 + 1k = 0

Add '50' to each side of the equation.
-50 + 50 + 1k = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 1k = 0 + 50
1k = 0 + 50

Combine like terms: 0 + 50 = 50
1k = 50

Divide each side by '1'.
k = 50

Simplifying
k = 50

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